Stewart_Calc_7ET ch16sec09
MULTIPLE CHOICE
1. Use a computer algebra system to compute the flux of F across S. S is the surface of the
cube cut from the first octant by the planes
a.
3
b.
4
c.
d.
0.67
e.
1
2. Use the Divergence Theorem to calculate the surface integral ; that is, calculate the
flux of across .
S is the surface of the box bounded by the coordinate planes and the planes
.
a.
b.
c.
d.
e.
1
8
8
3. , where S consists of the hemisphere and the disk
in the -plane.
a.
b.
c.
d.
e.
4. Assuming that S satisfies the conditions of the Divergence Theorem and the scalar functions
and components of the vector fields have continuous second order partial derivatives, find
,
where a is the constant vector.
a.
6
b.
5
c.
7
d.
8
e.
3